Savings Goal Calculator

Current savings progress

progress = currentSavings / goalAmount

= $2,500 / $25,000

= 10.0% of the way there

You already have 10.0% of your $25,000 goal — $22,500 remaining to cover through contributions and interest.

Starting balance grows

FV_start = PV × (1 + r)^n

= $2,500 × (1 + 0.3750%)^41

= $2,915

Your current $2,500 compounds at 4.5% annually for 3 years, 5 months. Even without additional contributions, this balance grows to $2,915 — compound growth at work on your existing savings.

FV = PV × (1 + r)^n — standard compound interest formula

Monthly contributions grow (annuity)

FV_contrib = PMT × ((1+r)^n − 1) / r

= $500 × (1.1659 − 1) / 0.3750%

= $22,115

Each $500/month deposit earns interest from its deposit date forward. Deposits made in month 1 compound for all 41 months; the last deposit earns interest for just 1 month. Front-loading contributions (saving more now) compresses your timeline meaningfully.

Future value of ordinary annuity — Brealey, Myers & Allen

Total at goal date

Total = FV_start + FV_contrib

= $2,915 + $22,115

= $25,030 (≈ $25,000 goal)

The calculator finds the exact month your balance first crosses the goal amount.

Interest earned

Interest = goalAmount − currentSavings − contributions

= $25,000 − $2,500 − $20,500

= $2,000 (8.0% of goal)

Compound interest contributes 8.0% of your $25,000 goal — $2,000 that the market generates without any extra effort. You personally contribute $23,000; growth covers the rest.

Compounding vs. no-interest comparison

monthsNoInterest = (goal − currentSavings) / PMT

= ($25,000 − $2,500) / $500

= 3 years, 9 months without interest · compounding saves 4 months

Without compound interest, you'd need 3 years, 9 months — 4 months longer. That's the compounding bonus: 4.5% annual return accelerates your timeline by 4 months.

$100/month boost impact

find months where FV(PMT + $100) = goal

= savings goal solved with $600/mo instead of $500/mo

= 2 years, 11 months · reaches goal 6 months sooner

Adding just $100/month to your savings pace cuts 6 months off your timeline. This is the power of margin — small increases in savings rate compound their impact over time through both faster contributions and longer compounding on an earlier-reached balance.

Daily savings equivalent

daily = monthlyPMT / 30.44 days

= $500 / 30.44

= $16.43/day to reach $25,000 in 3 years, 5 months

$500/month translates to $16.43/day. Framing goals at the daily level can make them feel more achievable — and highlights whether specific daily spending decisions (coffee, subscriptions, etc.) are actually meaningful in context.

Milestone checkpoints

milestone_months = solve FV(r, n, PMT) = 25/50/75% of goal

Goal: $25,000 · checkpoints at $6,250, $12,500, $18,750

= 25% in 8 months · 50% in 1 year, 7 months · 75% in 2 years, 7 months · 100% in 3 years, 5 months

Milestone checkpoints keep motivation high — each one represents meaningful progress. Notice that later milestones take less time than earlier ones as your growing balance earns more interest per month.